2525563806480 has 800 divisors, whose sum is σ = 10660627676160. Its totient is φ = 545667010560.

The previous prime is 2525563806463. The next prime is 2525563806497. The reversal of 2525563806480 is 846083655252.

2525563806480 is a `hidden beast` number, since 2 + 5 + 2 + 556 + 3 + 8 + 0 + 6 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2525563806463) and next prime (2525563806497).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26825569 + ... + 26919551.

Almost surely, 2^{2525563806480} is an apocalyptic number.

2525563806480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525563806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330313838080).

2525563806480 is an abundant number, since it is smaller than the sum of its proper divisors (8135063869680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2525563806480 is a wasteful number, since it uses less digits than its factorization.

2525563806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94061 (or 94046 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 2525563806480 in words is "two trillion, five hundred twenty-five billion, five hundred sixty-three million, eight hundred six thousand, four hundred eighty".